Holographic Renormalization for Fermions in Real Time
arXiv:1107.0558
Abstract
We consider the real-time holography on Anti-de-Sitter (AdS) and more generally on Lifshitz spacetimes for spinorial fields. The equation of motion for fermions on general Lifshitz space is derived. Analytically solvable cases are identified. On AdS space we derived time-ordered, time-reversed, advanced and retarded propagators with the correct i ε-insertions. Using the Keldysh-Schwinger contour we also calculated a propagator on thermal AdS. For massless fermions on the Lifshitz spacetime with z=2 we calculated the Euclidean 2-point function and explored the structure of divergences of the on-shell action for general values of z and mass m. The covariant counterterm action is derived.
Master's thesis with minor edits, 77 pages
References in corpus (25)
- Building an AdS/CFT superconductor
- The Holographic Weyl anomaly
- Lecture Notes on Holographic Renormalization
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Gravity Duals of Lifshitz-like Fixed Points
- From AdS/CFT correspondence to hydrodynamics
- Correlation functions in the CFT(d)/AdS(d+1) correpondence
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
- Non-Fermi liquids from holography
- Holographic Probes of Anti-de Sitter Spacetimes
- Non-relativistic holography
- Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
- Real-time gauge/gravity duality: Prescription, Renormalization and Examples
- Supersymmetric Gauge Theories and the AdS/CFT Correspondence
- Real-time gauge/gravity duality
- Real-time response in AdS/CFT with application to spinors
- Superconductivity from gauge/gravity duality with flavor
- D-Brane Primer
- From black holes to strange metals
- Fermions in non-relativistic AdS/CFT correspondence
- Fermions and the Sch/nrCFT Correspondence